Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 745-751.doi: 10.1016/S0252-9602(12)60054-X

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ESTIMATES ON THE FIRST TWO POLY-LAPLACIAN EIGENVALUES ON SPHERICAL DOMAINS

 MA Bing-Qing   

  1. Department of Mathematics, Henan Normal University, Xinxiang 453007, China
  • Received:2010-01-15 Revised:2010-10-27 Online:2012-03-20 Published:2012-03-20
  • Supported by:

    This research is supported by NSFC (11171368).

Abstract:

In this article, we study the first two eigenvalues of the higher order buckling problem on a domain in the unit sphere. We obtain an estimate on the second eigenvalue in terms of the first eigenvalue. In particular, the estimate on first two eigenvalues of the higher order buckling problem of Huang, Li and Qi [5] is included in our results.

Key words: Eigenvalue, spherical domain, buckling problem

CLC Number: 

  • 35P15
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